/ Dec: tied to the object, never changes H.A. / Dec: tied to the observer/object Alt. / Az : tied to the observer Other systems: •Ecliptic •Galactic Other Concepts: •Ecliptic •Local Sidereal Time 2
/ Dec: tied to the object, never changes H.A. / Dec: tied to the observer/object Alt. / Az : tied to the observer Other systems: •Ecliptic •Galactic Other Concepts: •Ecliptic •Local Sidereal Time NCP Celestial Equator NP SP Eq •Vernal Equinox R.A. Decl. SCP 3
/ Dec: tied to the object, never changes H.A. / Dec: tied to the observer/object Alt. / Az : tied to the observer Other systems: •Ecliptic •Galactic zenith nadir C.E. NP SP Eq Horizon NORTH Alt. Other Concepts: •Ecliptic •Local Sidereal Time 4
an astronomer Two things fill the mind with ever new and increasing admiration and awe, the more often and steadily we reflect upon them: the starry sky above me and the moral law within me. Aristotle 350 BC Plato 380 BC ... Kant 1755 16
an astronomer Two things fill the mind with ever new and increasing admiration and awe, the more often and steadily we reflect upon them: the starry sky above me and the moral law within me. Aristotle 350 BC Plato 380 BC ... Ptolemy 150 BC Copernicus 1500 Kepler 1600 Kant 1755 Galileo 1650 17
Apian, Cosmographia, Antwerp, 1524 from Edward Grant, "Celestial Orbs in the Latin Middle Ages", Isis, Vol. 78, No. 2. (Jun., 1987). Geocentric models are natural: from our perspective we see the Sun moving, while we stay still the earth is round, and it orbits around the sun 20
improve this model cannot fit the data anymore! not easily anyways... http://en.wikipedia.org/wiki/File:Cassini_apparent.jpg Source Encyclopaedia Brittanica 1st Edition Author Dr Long's copy of Cassini, 1777 the earth is round, and it orbits around the sun 21
model fit the data “naturally” (for now anyways...) http://en.wikipedia.org/wiki/File:Copernican_heliocentrism_diagram-2.jpg Image of heliocentric model from Nicolaus Copernicus' "De revolutionibus orbium coelestium". the earth is round, and it orbits around the sun 22
model fit the data “naturally” (for now anyways...) Image of heliocentric model from Nicolaus Copernicus' "De revolutionibus orbium coelestium". http://en.wikipedia.org/wiki/File:Pluralitas.jpg Okham’s razor: "Pluralitas non est ponenda sine necessitate" John Duns Scotus (1265–1308) http://en.wikipedia.org/wiki/File:Copernican_heliocentrism_diagram-2.jpg the earth is round, and it orbits around the sun 23
an astronomer Two things fill the mind with ever new and increasing admiration and awe, the more often and steadily we reflect upon them: the starry sky above me and the moral law within me. Aristotle 350 BC Plato 380 BC ... Popper 1934 Ptolemy 150 BC Copernicus 1500 Kant 1755 Galileo 1650 Kepler 1600 The Logic of Scientific Discovery 27
a scientific theory: • favor the models that require fewer parameters • a scientific theory must be falsifiable • most scientific theories are actually based largely on probabilistic induction and modern inductive inference (Solomonoff, frequentist vs Bayesian methods...) 28
is round, and it orbits around the sun Image of heliocentric model from Nicolaus Copernicus' "De revolutionibus orbium coelestium". http://en.wikipedia.org/wiki/File:Copernican_heliocentrism_diagram-2.jpg 29
= 23h 56m orbit of the earth the RA transiting at a given standard time advances by about 4 minutes per day 4 min/day 2 hours/month 24 hours / 12 months 42
the earth LST = H.A. + RA LST: local sidereal time is the RA of the meridian at zenith in a given place at a given time ALSO LOOK UP: Universal time Local time Mean Solar time Greenwich time Daylight saving time... 45
21 (southern hemisphere summer) • sun radiation incident at a perpendicular angle • longer days: sun radiation integrated for longer time • less atmospheric dispersion 91
is based on falsifiability (and simplicity) 2. Celestial bodies are in continuous motion: the earth spins, revolves, the galaxy rotates, the local group moves ... 3.The Earth’s spin causes celestial bodies apparent daily motion 4. The hour circles moves 4 min/day due to the rotation of the Earth around the Sun changing the night sky landscape seasonally 5. The ecliptic is tilted 23.4o from the Earth’s equatorial plane 6. Seasons are due to reasons all connected to this mis-alignment 7. The rotation of the Solar System bodies is to be understood in the context of Solar System formation from collapse of a gas cloud 103
next class. Many of the concepts we went through are developed in the course of Chapter 2, so you must have already done some of the work! Look up times: http://www.astronomy.ohio-state.edu/~pogge/Ast161/Unit2/ time.html Wikipedia is a good resource for the scientific method: start at http://en.wikipedia.org/wiki/Falsifiability and if you are interested follow the links, to Positivism, to Probabilistic or non-probabilistic induction, etc... Read the first outdoors lab: we may go out this week! 104